TSTP Solution File: SET084-7 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nq6mHlHaTj true
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:12:33 EDT 2023
% Result : Unsatisfiable 0.20s 0.77s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nq6mHlHaTj true
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 11:48:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % Solved by fo/fo3_bce.sh.
% 0.20/0.77 % BCE start: 70
% 0.20/0.77 % BCE eliminated: 2
% 0.20/0.77 % PE start: 68
% 0.20/0.77 logic: eq
% 0.20/0.77 % PE eliminated: 9
% 0.20/0.77 % done 43 iterations in 0.028s
% 0.20/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.77 % SZS output start Refutation
% 0.20/0.77 thf(universal_class_type, type, universal_class: $i).
% 0.20/0.77 thf(null_class_type, type, null_class: $i).
% 0.20/0.77 thf(member_type, type, member: $i > $i > $o).
% 0.20/0.77 thf(x_type, type, x: $i).
% 0.20/0.77 thf(singleton_type, type, singleton: $i > $i).
% 0.20/0.77 thf(y_type, type, y: $i).
% 0.20/0.77 thf(singleton_is_null_class, axiom,
% 0.20/0.77 (( member @ X @ universal_class ) | ( ( singleton @ X ) = ( null_class ) ))).
% 0.20/0.77 thf(zip_derived_cl66, plain,
% 0.20/0.77 (![X0 : $i]:
% 0.20/0.77 ( (member @ X0 @ universal_class) | ((singleton @ X0) = (null_class)))),
% 0.20/0.77 inference('cnf', [status(esa)], [singleton_is_null_class])).
% 0.20/0.77 thf(prove_singleton_identified_by_element2_1, conjecture,
% 0.20/0.77 (( singleton @ x ) != ( singleton @ y ))).
% 0.20/0.77 thf(zf_stmt_0, negated_conjecture, (( singleton @ x ) = ( singleton @ y )),
% 0.20/0.77 inference('cnf.neg', [status(esa)],
% 0.20/0.77 [prove_singleton_identified_by_element2_1])).
% 0.20/0.77 thf(zip_derived_cl69, plain, (((singleton @ x) = (singleton @ y))),
% 0.20/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.77 thf(only_member_in_singleton, axiom,
% 0.20/0.77 (( ~( member @ Y @ ( singleton @ X ) ) ) | ( ( Y ) = ( X ) ))).
% 0.20/0.77 thf(zip_derived_cl65, plain,
% 0.20/0.77 (![X0 : $i, X1 : $i]:
% 0.20/0.77 (~ (member @ X0 @ (singleton @ X1)) | ((X0) = (X1)))),
% 0.20/0.77 inference('cnf', [status(esa)], [only_member_in_singleton])).
% 0.20/0.77 thf(zip_derived_cl292, plain,
% 0.20/0.77 (![X0 : $i]: (~ (member @ X0 @ (singleton @ x)) | ((X0) = (y)))),
% 0.20/0.77 inference('sup-', [status(thm)], [zip_derived_cl69, zip_derived_cl65])).
% 0.20/0.77 thf(set_in_its_singleton, axiom,
% 0.20/0.77 (( ~( member @ X @ universal_class ) ) | ( member @ X @ ( singleton @ X ) ))).
% 0.20/0.77 thf(zip_derived_cl62, plain,
% 0.20/0.77 (![X0 : $i]:
% 0.20/0.77 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 0.20/0.77 inference('cnf', [status(esa)], [set_in_its_singleton])).
% 0.20/0.77 thf(zip_derived_cl338, plain,
% 0.20/0.77 ((((x) = (y)) | ~ (member @ x @ universal_class))),
% 0.20/0.77 inference('sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl62])).
% 0.20/0.77 thf(prove_singleton_identified_by_element2_3, conjecture, (( x ) = ( y ))).
% 0.20/0.77 thf(zf_stmt_1, negated_conjecture, (( x ) != ( y )),
% 0.20/0.77 inference('cnf.neg', [status(esa)],
% 0.20/0.77 [prove_singleton_identified_by_element2_3])).
% 0.20/0.77 thf(zip_derived_cl67, plain, (((x) != (y))),
% 0.20/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.20/0.77 thf(zip_derived_cl340, plain, (~ (member @ x @ universal_class)),
% 0.20/0.77 inference('simplify_reflect-', [status(thm)],
% 0.20/0.77 [zip_derived_cl338, zip_derived_cl67])).
% 0.20/0.77 thf(zip_derived_cl344, plain, (((singleton @ x) = (null_class))),
% 0.20/0.77 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl340])).
% 0.20/0.77 thf(prove_singleton_identified_by_element2_2, conjecture,
% 0.20/0.77 (~( member @ y @ universal_class ))).
% 0.20/0.77 thf(zf_stmt_2, negated_conjecture, (member @ y @ universal_class),
% 0.20/0.77 inference('cnf.neg', [status(esa)],
% 0.20/0.77 [prove_singleton_identified_by_element2_2])).
% 0.20/0.77 thf(zip_derived_cl68, plain, ( (member @ y @ universal_class)),
% 0.20/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.20/0.77 thf(corollary_to_set_in_its_singleton, axiom,
% 0.20/0.77 (( ~( member @ X @ universal_class ) ) |
% 0.20/0.77 ( ( singleton @ X ) != ( null_class ) ))).
% 0.20/0.77 thf(zip_derived_cl63, plain,
% 0.20/0.77 (![X0 : $i]:
% 0.20/0.77 (~ (member @ X0 @ universal_class)
% 0.20/0.77 | ((singleton @ X0) != (null_class)))),
% 0.20/0.77 inference('cnf', [status(esa)], [corollary_to_set_in_its_singleton])).
% 0.20/0.77 thf(zip_derived_cl274, plain, (((singleton @ y) != (null_class))),
% 0.20/0.77 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl63])).
% 0.20/0.77 thf(zip_derived_cl69, plain, (((singleton @ x) = (singleton @ y))),
% 0.20/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.77 thf(zip_derived_cl275, plain, (((singleton @ x) != (null_class))),
% 0.20/0.77 inference('demod', [status(thm)], [zip_derived_cl274, zip_derived_cl69])).
% 0.20/0.77 thf(zip_derived_cl345, plain, ($false),
% 0.20/0.77 inference('simplify_reflect-', [status(thm)],
% 0.20/0.77 [zip_derived_cl344, zip_derived_cl275])).
% 0.20/0.77
% 0.20/0.77 % SZS output end Refutation
% 0.20/0.77
% 0.20/0.77
% 0.20/0.77 % Terminating...
% 1.17/0.85 % Runner terminated.
% 1.17/0.86 % Zipperpin 1.5 exiting
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